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Finding the Fourth Proportional to 107,386.64, 160,898.04 and 65,746.64

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Solution

The fourth proportional to 107,386.64, 160,898.04 and 65,746.64 is: 98,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,386.64 : 160,898.04 = 65,746.64 : x
  2. Step 2: Convert to fraction form
    107,386.64/160,898.04 = 65,746.64/x
  3. Step 3: Cross multiply
    107,386.64x = 160,898.04 × 65,746.64
  4. Step 4: Simplify right side
    107,386.64x = 10,578,505,512.59
  5. Step 5: Solve for x
    x = 10,578,505,512.59/107,386.64
  6. Step 6: Final answer
    x = 98,508.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.